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415144150040 = 23517793776919
BaseRepresentation
bin1100000101010001000…
…01010000010000011000
31110200120002221220100202
412002220201100100120
523300203400300130
6514414203521332
741664442023644
oct6025041202030
91420502856322
10415144150040
11150075060484
126855ab29248
13301bccb8679
14161435cbc24
15abeb1d4145
hex60a8850418

415144150040 has 64 divisors (see below), whose sum is σ = 989157355200. Its totient is φ = 156267839488.

The previous prime is 415144150027. The next prime is 415144150063. The reversal of 415144150040 is 40051441514.

It is a junction number, because it is equal to n+sod(n) for n = 415144149985 and 415144150012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358701 + ... + 5435619.

It is an arithmetic number, because the mean of its divisors is an integer number (15455583675).

Almost surely, 2415144150040 is an apocalyptic number.

415144150040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415144150040 is an abundant number, since it is smaller than the sum of its proper divisors (574013205160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415144150040 is a wasteful number, since it uses less digits than its factorization.

415144150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84884 (or 84880 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 415144150040 its reverse (40051441514), we get a palindrome (455195591554).

The spelling of 415144150040 in words is "four hundred fifteen billion, one hundred forty-four million, one hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 7937 15874 31748 39685 63496 76919 79370 134929 153838 158740 269858 307676 317480 384595 539716 615352 674645 769190 1079432 1307623 1349290 1538380 2615246 2698580 3076760 5230492 5397160 6538115 10460984 13076230 26152460 52304920 610506103 1221012206 2442024412 3052530515 4884048824 6105061030 10378603751 12210122060 20757207502 24420244120 41514415004 51893018755 83028830008 103786037510 207572075020 415144150040